Looks like I no longer have the tasks app. I'm looking to see where my tasks are stored so I can replicate them?
There is a page created on the official website where you can see everything there is about Local Sync. The page is more like a user guide where you can see how the software works and how can it be configured.
Use the following link to reach that page: http://www.psencik.cz/local-sync#TOC-Task-specific
Additionally, you can use some alternatives from the Play Store: https://play.google.com/store/apps/similar?id=cz.psencik.simple